Measurement of the cross sections for $e^{+}e^{-}\to p\bar{n}π^{-}$ at center of mass energies from 3.510 to 4.946 GeV
Using a data sample corresponding to an integrated luminosity of 43.8~fb$^{-1}$ collected with the \mbox{BESIII} detector at 44 center-of-mass energy points between 3.510 and 4.946~GeV, the Born cross sections for the process $e^+e^- \to p \bar{n} π^-$ and its charge-conjugated process are measured. The energy dependence of the dressed cross sections is investigated to search for possible contributions from vector charmonium and charmonium-like states. No evidence for contributions from the $ψ(3770)$, $Y(4230)$, $Y(4360)$, $ψ(4415)$, $Y(4500)$, or $Y(4710)$ resonances is observed. The upper limits at the 90\% confidence level are determined for the products of the electronic partial widths and the branching fractions for the decays of these resonances into the $p \bar{n} π^- + \mathrm{c.c.}$ final state.